Numerically solving the differential equations gives \(0.34\)  [1]}. A more accurate value can be achieved using the \(r_\text{ISCO}\)  in the Kerr spacetime. If the GW emission is turned on, the mass ratio drops to \(0.185\)  [1]}, indicating the importance of the GW emission in the attractor phase of \(\lbrace 0,1,1\rbrace \)  mode.
